The 5L vessel is filled to the top. If a body with a volume of 0.5 liters and a mass of 3 kg is placed in a vessel

The 5L vessel is filled to the top. If a body with a volume of 0.5 liters and a mass of 3 kg is placed in a vessel, then how many liters of water will be displaced from the vessel.

Given:

V = 5 liters = 0.005 cubic meters – vessel volume;

V1 = 0.5 liters = 0.0005 cubic meters – body volume;

m1 = 3 kilograms – body weight;

ro = 1000 kilograms / cubic meter – density of pure water.

It is required to determine m (kilogram) – the mass of water displaced from the vessel.

Let’s find the density of the body:

ro1 = m / V1 = 3 / 0.0005 = 6000 kg / m3.

Since the density of the body is much higher than the density of water (6000> 1000), it means that the body is completely immersed in the vessel.

Then, the volume of water that will displace the body during immersion will be equal to the volume of the body itself, that is, v = V1.

The mass of the displaced water will be equal to:

m = v * ro = V1 * ro = 0.0005 * 1000 = 0.5 kilograms.

Answer: the mass of the displaced water will be equal to 0.5 kilograms.